22 citations · 43 across the 17 of their papers we have counts for
20 papers
Projective Hilbert Modules and Sequential Approximation
Lawrence G. Brown, Huaxin Lin
We show that, when is a separable C*-algebra, every countably generated Hilbert -module is projective (with bounded module maps as morphisms). We also study the approximate…
When is Every Quasi-Multiplier a Multiplier?
Lawrence G. Brown
We answer the title question for sigma-unital C*-algebras. The answer is that the algebra must be the direct sum of a dual C*-algebra and a C*-algebra satisfying a certain local un…
On the property IR of Friis and Rordam
Lawrence G. Brown
In a 1997 paper Lin solved a longstanding problem as follows: For each epsilon > 0, there is delta > 0 such that if h and k are self-adjoint contractive n x n matrices and ||hk - k…
Some results on strongly operator convex functions and operator monotone functions
Lawrence G. Brown, Mitsuru Uchiyama
This paper concerns three classes of real-valued functions on intervals, operator monotone functions, operator convex functions, and strongly operator convex functions. Strongly op…
Some methods for constructing new operator monotone functions from old ones
Lawrence G. Brown
We observe that if f is a continuous function on an interval I and x_0 \in I, then f is operator monotone if and only if the function (f(x) - f(x_0)/(x - x_0) is strongly operator…
Some metric and homotopy properties of partial isometries
Lawrence G. Brown
We show that ||u*u - v*v|| \leq ||u - v|| for partial isometries u and v. There is a stronger inequality if both u and v are extreme points of the unit ball of a C*-algebra, and bo…